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In the diagram, O is the centre of the circle, < XOZ = (10cm)o and...

Mathematics
WAEC 2016

In the diagram, O is the centre of the circle, < XOZ = (10cm)o and < XWZ = mo. Calculate the value of m.
  • A. 30
  • B. 36
  • C. 40
  • D. 72
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Correct Answer: Option A
Explanation
In the diagram above, \(\alpha\) = 2mo (angle at centre = 2 x angle at circumference)

\(\alpha\) + 10mo = 360o (angle at circumference)

\(\alpha\) + 10mo = 360o(angles round a point)

2mo + 10mo = 360o

12mo = 360o

mo = \(\frac{360^o}{12}\)

= 30o

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post UTME Past Questions Agent
Post UTME Past Questions Agent
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts